Question 189239
The area of a rectangle is given by the product of its length and width. So from this, we get an equation:

(x+11)*(x-4)=34

Using FOIL we get:

{{{x^2+7x-44=34}}}

Subtracting 34 from both sides, we get:

{{{x^2+7x-78=0}}}

Factoring this quadratic equation, we get:

{{{(x+13)(x-6)=0}}}

x+13=0    and/or x-6=0

x=-13 and/or x=6

If x=-13, then the length of the rectangle, (x+11)=(-13)+11=-2. But length cannot be negative, so we take x=6

where (x+11)=(6+11)=17=length of the rectangle
(x-4)=6-4=2=width of the rectangle

So you now have a rectangle with dimensions 17m x 2m

Hope this helps.